20081752992 has 288 divisors, whose sum is σ = 69038161920. Its totient is φ = 5408985600.

The previous prime is 20081752987. The next prime is 20081752993. The reversal of 20081752992 is 29925718002.

It is a happy number.

20081752992 is a `hidden beast` number, since 20 + 0 + 8 + 17 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (20081752993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8540617 + ... + 8542967.

It is an arithmetic number, because the mean of its divisors is an integer number (239715840).

Almost surely, 2^20081752992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20081752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34519080960).

20081752992 is an abundant number, since it is smaller than the sum of its proper divisors (48956408928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20081752992 is a wasteful number, since it uses less digits than its factorization.

20081752992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 20081752992 in words is "twenty billion, eighty-one million, seven hundred fifty-two thousand, nine hundred ninety-two".